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21029089400 = 2352111312557
BaseRepresentation
bin10011100101011011…
…100111000001111000
32000021112221102111222
4103211123213001320
5321031421330100
613354410211212
71343056211354
oct234533470170
960245842458
1021029089400
118a11411130
1240aa723b08
131ca195b487
141036c46464
15831296485
hex4e56e7078

21029089400 has 144 divisors (see below), whose sum is σ = 53844176520. Its totient is φ = 7574944000.

The previous prime is 21029089399. The next prime is 21029089421. The reversal of 21029089400 is 498092012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37753922 + ... + 37754478.

Almost surely, 221029089400 is an apocalyptic number.

21029089400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21029089400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26922088260).

21029089400 is an abundant number, since it is smaller than the sum of its proper divisors (32815087120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21029089400 is a wasteful number, since it uses less digits than its factorization.

21029089400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 21029089400 in words is "twenty-one billion, twenty-nine million, eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 131 200 220 262 275 440 524 550 557 655 1048 1100 1114 1310 1441 2200 2228 2620 2785 2882 3275 4456 5240 5570 5764 6127 6550 7205 11140 11528 12254 13100 13925 14410 17161 22280 24508 26200 27850 28820 30635 34322 36025 49016 55700 57640 61270 68644 72050 72967 85805 111400 122540 137288 144100 145934 153175 171610 188771 245080 288200 291868 306350 343220 364835 377542 429025 583736 612700 686440 729670 755084 802637 858050 943855 1225400 1459340 1510168 1605274 1716100 1824175 1887710 2918680 3210548 3432200 3648350 3775420 4013185 4719275 6421096 7296700 7550840 8026370 9438550 9558677 14593400 16052740 18877100 19117354 20065925 32105480 37754200 38234708 40131850 47793385 76469416 80263700 95586770 105145447 160527400 191173540 210290894 238966925 382347080 420581788 477933850 525727235 841163576 955867700 1051454470 1911735400 2102908940 2628636175 4205817880 5257272350 10514544700 21029089400